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Finding the Fourth Proportional to 4,635, 6,951.40 and 1,514.20

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Solution

The fourth proportional to 4,635, 6,951.40 and 1,514.20 is: 2,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635 : 6,951.40 = 1,514.20 : x
  2. Step 2: Convert to fraction form
    4,635/6,951.40 = 1,514.20/x
  3. Step 3: Cross multiply
    4,635x = 6,951.40 × 1,514.20
  4. Step 4: Simplify right side
    4,635x = 10,525,809.88
  5. Step 5: Solve for x
    x = 10,525,809.88/4,635
  6. Step 6: Final answer
    x = 2,270.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.